teach vs reward

teach is not a noun while reward is a noun.

Word	Noun	Adjective	Verb	Adverb
teach	No	No	Yes	No
reward	Yes	No	Yes	No

As verbs, reward is a hyponym of teach; that is, reward is a word with a more specific, narrower meaning than teach:

teach (noun)	reward (noun)
	an act performed to strengthen approved behavior
	benefit resulting from some event or action
	the offer of money for helping to find a criminal or for returning lost property
	a recompense for worthy acts or retribution for wrongdoing
	payment made in return for a service rendered

teach (verb)	reward (verb)
accustom gradually to some action or attitude	strengthen and support with rewards
impart skills or knowledge to	act or give recompense in recognition of someone's behavior or actions
	bestow honor or rewards upon